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Exercises in Fourier Analysis, by T. W. Körner
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Fourier analysis is an indispensable tool for physicists, engineers and mathematicians. A wide variety of the techniques and applications of fourier analysis are discussed in Dr. Körner's highly popular book, An Introduction to Fourier Analysis (1988). In this book, Dr. Körner has compiled a collection of exercises on Fourier analysis that will thoroughly test the reader's understanding of the subject. They are arranged chapter by chapter to correspond with An Introduction to Fourier Analysis, and for all who enjoyed that book, this companion volume will be an essential purchase.
- Sales Rank: #7185828 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1993-09-24
- Original language: English
- Number of items: 1
- Dimensions: 9.72" h x 1.10" w x 6.85" l, 1.90 pounds
- Binding: Hardcover
- 395 pages
- Used Book in Good Condition
Review
"...well-spiced with historical anecdotes and other remarks which enliven the pure mathematics and put a human face on it....presents provocative illustrations and problems with leading questions and discussions to guide the reader...mathematics libraries will feel the need for more than a single copy." Applied Mathematics Review
"One of the merits of Körner's book is that many exercises are designed to make the reader aware of subtleties... Teachers who need examination problems will find this book a valuable reference...very readable...a useful graduate course text for mathematics and physics departments...It will be also of greatest interest to mathematicians seeking applications in physics." Optics and Photonics News
"...beautiful, unusual, and original..." Quarterly of Applied Mathematics
"Chapter by chapter exercises for the author's splendid Fourier Analysis." American Mathematical Monthly
"...entirely readable by any one already fairly expert in the field of Fourier analysis. The nature of each example is clearly stated and helpful hints on methods of solution are provided." A.D. Booth, Physics in Canada
About the Author
T. W. Korner is Professor of Fourier Analysis in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. He has previously authored four other books including Fourier Analysis and The Pleasures of Counting.
Most helpful customer reviews
19 of 19 people found the following review helpful.
Routine exercises studded with some gems
By A Customer
As the author notes in the Preface, this is an exercise book rather than a problem book; most of the exercises are further developments of ideas in the main text (Korner's book "Fourier Analysis"), and are not supposed to be hard. (The exercises that are hard, are liberally hinted and explained so you can still work through them without undue mental strain.) There are also many alternate proofs of results in the main text.
Nevertheless the book does contain many gems. These are primarily results that depend on some of the same ideas as Fourier Analysis without really being Fourier Analysis. Some of these gems: an "insufficiently asked question of Halmos" (whether there is a uniformly convergent sum that does not satisfy the Weierstrass M-test); a harmonic analysis experiment involving two potatoes and some string; a complete proof of Apery's theorem that the Riemann Zeta Function zeta(3) is irrational; the Feynman trick for evaluating integrals by differentiating under the integral sign; a proof of the Prime Number Theorem; and Karamata's proof of Littlewood's strengthening of Tauber's Theorem.
The index is full of jokes; be sure to read the index and browse any interesting-looking items.
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